Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100136181> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W3100136181 abstract "The purpose of this paper is to obtain asymptotics of shifted sums of Hecke eigenvalue squares on average. We show that for $X^{frac{2}{3}+epsilon} < H <X^{1-epsilon},$ there are constants $B_{h}$ such that $$ sum_{Xleq n leq 2X} lambda_{f}(n)^{2}lambda_{f}(n+h)^{2}-B_{h}X=O_{f,A,epsilon}big(X (log X)^{-A}big)$$ for all but $O_{f,A,epsilon}big(H(log X)^{-3A}big)$ integers $h in [1,H]$ where ${lambda_{f}(n)}_{ngeq1}$ are normalized Hecke eigenvalues of a fixed holomorphic cusp form $f.$ Our method is based on the Hardy-Littlewood circle method. We divide the minor arcs into two parts $m_{1}$ and $m_{2}.$ In order to treat $m_{2},$ we use the Hecke relations, a bound of Miller to apply some arguments from a paper of Matom{a}ki, Radziwill and Tao. We apply Parseval's identity and Gallagher's lemma so as to treat $m_{1}.$" @default.
- W3100136181 created "2020-11-23" @default.
- W3100136181 creator A5033219481 @default.
- W3100136181 date "2020-11-11" @default.
- W3100136181 modified "2023-09-26" @default.
- W3100136181 title "On the asymptotics of the shifted sums of Hecke eigenvalue squares" @default.
- W3100136181 cites W184868352 @default.
- W3100136181 cites W2018615596 @default.
- W3100136181 cites W2054229621 @default.
- W3100136181 cites W2066877076 @default.
- W3100136181 cites W2155879436 @default.
- W3100136181 cites W3003951394 @default.
- W3100136181 cites W2915903757 @default.
- W3100136181 doi "https://doi.org/10.48550/arxiv.2011.06142" @default.
- W3100136181 hasPublicationYear "2020" @default.
- W3100136181 type Work @default.
- W3100136181 sameAs 3100136181 @default.
- W3100136181 citedByCount "0" @default.
- W3100136181 crossrefType "posted-content" @default.
- W3100136181 hasAuthorship W3100136181A5033219481 @default.
- W3100136181 hasBestOaLocation W31001361811 @default.
- W3100136181 hasConcept C10138342 @default.
- W3100136181 hasConcept C102519508 @default.
- W3100136181 hasConcept C114614502 @default.
- W3100136181 hasConcept C121332964 @default.
- W3100136181 hasConcept C134306372 @default.
- W3100136181 hasConcept C158693339 @default.
- W3100136181 hasConcept C162324750 @default.
- W3100136181 hasConcept C182306322 @default.
- W3100136181 hasConcept C202444582 @default.
- W3100136181 hasConcept C203024314 @default.
- W3100136181 hasConcept C204575570 @default.
- W3100136181 hasConcept C2524010 @default.
- W3100136181 hasConcept C2778113609 @default.
- W3100136181 hasConcept C2778400075 @default.
- W3100136181 hasConcept C33923547 @default.
- W3100136181 hasConcept C62520636 @default.
- W3100136181 hasConcept C76563020 @default.
- W3100136181 hasConcept C89451469 @default.
- W3100136181 hasConceptScore W3100136181C10138342 @default.
- W3100136181 hasConceptScore W3100136181C102519508 @default.
- W3100136181 hasConceptScore W3100136181C114614502 @default.
- W3100136181 hasConceptScore W3100136181C121332964 @default.
- W3100136181 hasConceptScore W3100136181C134306372 @default.
- W3100136181 hasConceptScore W3100136181C158693339 @default.
- W3100136181 hasConceptScore W3100136181C162324750 @default.
- W3100136181 hasConceptScore W3100136181C182306322 @default.
- W3100136181 hasConceptScore W3100136181C202444582 @default.
- W3100136181 hasConceptScore W3100136181C203024314 @default.
- W3100136181 hasConceptScore W3100136181C204575570 @default.
- W3100136181 hasConceptScore W3100136181C2524010 @default.
- W3100136181 hasConceptScore W3100136181C2778113609 @default.
- W3100136181 hasConceptScore W3100136181C2778400075 @default.
- W3100136181 hasConceptScore W3100136181C33923547 @default.
- W3100136181 hasConceptScore W3100136181C62520636 @default.
- W3100136181 hasConceptScore W3100136181C76563020 @default.
- W3100136181 hasConceptScore W3100136181C89451469 @default.
- W3100136181 hasLocation W31001361811 @default.
- W3100136181 hasOpenAccess W3100136181 @default.
- W3100136181 hasPrimaryLocation W31001361811 @default.
- W3100136181 hasRelatedWork W1582938548 @default.
- W3100136181 hasRelatedWork W1982565956 @default.
- W3100136181 hasRelatedWork W2023276843 @default.
- W3100136181 hasRelatedWork W2103433902 @default.
- W3100136181 hasRelatedWork W2464314880 @default.
- W3100136181 hasRelatedWork W2761730968 @default.
- W3100136181 hasRelatedWork W2949478707 @default.
- W3100136181 hasRelatedWork W3011760230 @default.
- W3100136181 hasRelatedWork W3132233781 @default.
- W3100136181 hasRelatedWork W2040551279 @default.
- W3100136181 isParatext "false" @default.
- W3100136181 isRetracted "false" @default.
- W3100136181 magId "3100136181" @default.
- W3100136181 workType "article" @default.